تقرير
Northcott property and universality of higher degree forms
| العنوان: | Northcott property and universality of higher degree forms |
|---|---|
| المؤلفون: | Prakash, Om |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11E10, 11E76, 11G50, 11H06, 11P05, 11R04, 11R20, 11R80 |
| الوصف: | Let $K$ be a totally real number field, $d$ a positive integer, and $Q$ a higher degree form over $K$. We prove that there are at most finitely many totally real extensions $L/K$ of degree $d$ such that $Q$ over $L$ is universal. Further, we show that there are no universal forms over totally real infinite extensions of $\mathbb{Q}$ having the Northcott property. Comment: 15 pages, comments are welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.19974 |
| رقم الأكسشن: | edsarx.2407.19974 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |